JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (11): 95-99.doi: 10.6040/j.issn.1671-9352.0.2017.035

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Characterizations and properties of triple-δ-derivation in Boolean algebra

LIU Li-jun1,2   

  1. 1. School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723000, Shaanxi, China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Received:2017-02-10 Online:2017-11-20 Published:2017-11-17

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Abstract: The concept of triple-δ-derivation in the Boolean algebra is introduced, and some properties and characteristies of triple-δ-derivation are obtained. Especially, the characterization theorem for the isotone triple-δ-derivation is given in the Boolean algebra. The results of this study not only enrich the derivation theory of Boolean algebra, but also provide a theoretical basis for the study of derivations on lattices.

Key words: Boolean algebra, lattice, triple-δ-derivation, derivation

CLC Number: 

  • O159
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